2 papers
math-ph2026
Liquid Drop Model for Nuclear Matter in the Low Density Limit
Rupert L. Frank, Mathieu Lewin, Robert Seiringer
We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the…
math.AP2025
Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence
Jean Dolbeault, Maria J. Esteban, Alessio Figalli +2
We prove a sharp quantitative version for the stability of the Sobolev inequality with explicit constants. Moreover, the constants have the correct behavior in the limit of large d…